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Acceleration from a clustering environment
by Roi Holtzman, Christian Maes
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Submission summary
| Authors (as registered SciPost users): | Roi Holtzman |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202408_00026v1 (pdf) |
| Date accepted: | 2024-09-09 |
| Date submitted: | 2024-08-23 09:30 |
| Submitted by: | Holtzman, Roi |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study the effects of correlations in a random environment on a random walker. The dependence of its asymptotic speed on the correlations is a nonperturbative effect as it is not captured by a homogeneous version of the same environment. For a slowly cooling environment, the buildup of correlations modifies the walker's speed and, by so, realizes acceleration. We remark on the possible relevance in the discussion of cosmic acceleration as traditionally started from the Friedmann equations, which, from a statistical mechanical point of view, would amount to a mean-field approximation. Our environment is much simpler though, with transition rates sampled from the one-dimensional Ising model and allowing exact results and detailed velocity characteristics.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
List of changes
- Introducing the Ising model as the environment, we now mention its inverse temperature β.
- We have commented about the possibility of taking a different bath temperature for the walker from the one determining the Ising environment and motivated our choice clearly when defining the hopping rates.
- We have delayed the mentioning of a "cooling environment" to Section III.A. and specified explicitly that 'cooling' is a quasistatic change of the temperature. We have mentioned that the consideration of heating is obtained by the same analysis.
- We have mentioned the Kibble-Zurek mechanism in remark 3 in Section V.
- We have stressed the limitation coming from the analysis of the 1d environment in remark 3 in Section V.
Published as SciPost Phys. 17, 091 (2024)